Information on Result #1014099
Linear OOA(7107, 5621, F7, 3, 22) (dual of [(5621, 3), 16756, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(712, 13, F7, 3, 11) (dual of [(13, 3), 27, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 12, 13)-net over F7, using
- 1 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 12, 13)-net over F7, using
- linear OOA(795, 5608, F7, 3, 22) (dual of [(5608, 3), 16729, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(795, 16824, F7, 22) (dual of [16824, 16729, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(795, 16826, F7, 22) (dual of [16826, 16731, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- linear OA(791, 16807, F7, 22) (dual of [16807, 16716, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(776, 16807, F7, 18) (dual of [16807, 16731, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(74, 19, F7, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,7)), using
- construction X applied to Ce(21) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(795, 16826, F7, 22) (dual of [16826, 16731, 23]-code), using
- OOA 3-folding [i] based on linear OA(795, 16824, F7, 22) (dual of [16824, 16729, 23]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.